Global continuation of nonlinear waves in a ring of neurons

DOI10.1017/S0308210500004248zbMath1095.34050OpenAlexW2013928771MaRDI QIDQ5716720

Shangjiang Guo, Li-Hong Huang

Publication date: 10 January 2006

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500004248

zbMATH Keywords

nonlinear wavesHopfield modelneutral networks

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Qualitative investigation and simulation of models involving functional-differential equations (34K60)

Related Items (6)

Equivariant normal forms for parameterized delay differential equations with applications to bifurcation theory ⋮ STABILITY AND BIFURCATION FOR A CLASS OF TRI-NEURON NETWORKS WITH BIDIRECTIONALLY DELAYED CONNECTIONS AND SELF-FEEDBACK ⋮ Pattern formation and continuation in a trineuron ring with delays ⋮ PATTERNS OF OSCILLATION IN A RING OF IDENTICAL CELLS WITH DELAYED COUPLING ⋮ BIFURCATION THEORY OF FUNCTIONAL DIFFERENTIAL EQUATIONS: A SURVEY ⋮ DYNAMICS IN TIME-DELAY RECURRENTLY COUPLED OSCILLATORS

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